Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
myininaya
Group Title
I have the following information:
\[n=p^2q\]
\[k \ge 4\]
\[0<v<n\]
\[0 \le x < pq\]
\[y=\lceil \frac{(vx^k) \mod n}{pq} \rceil \cdot (kx^{k1})^{1} \mod p\]
I want to show:
\[\sum_{i=0}^{k}\left(\begin{matrix} k \\ i \end{matrix}\right) x^{k1}(ypq)^i \equiv x^k+kypqx^{k1}\]
the congruence is mod n
 3 years ago
 3 years ago
myininaya Group Title
I have the following information: \[n=p^2q\] \[k \ge 4\] \[0<v<n\] \[0 \le x < pq\] \[y=\lceil \frac{(vx^k) \mod n}{pq} \rceil \cdot (kx^{k1})^{1} \mod p\] I want to show: \[\sum_{i=0}^{k}\left(\begin{matrix} k \\ i \end{matrix}\right) x^{k1}(ypq)^i \equiv x^k+kypqx^{k1}\] the congruence is mod n
 3 years ago
 3 years ago

This Question is Closed

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
i can't even read this what class?
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
i made a mistake \[\sum_{i=0}^{k}\left(\begin{matrix} k \\ i \end{matrix}\right) x^{ki}(ypq)^i \equiv x^k+kypqx^{k1}\] I'm trying to follow a proof but i don't know how they got from that one part to the other part
 3 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
yeah well i cannot read what it says. good luck
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
http://www.cacr.math.uwaterloo.ca/hac/ its in chapter 11 on page 473 at the bottom
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
i wonder if james or zarkon could do it
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
oh its zarkon lol
 3 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
good luck!
 3 years ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.0
ask me next semester when I've taken cryptography, and I might be able to help you, but right now, I haven't got a clue.
 3 years ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.2
only the first two values of i will matter (i=0,1) for i>1 you have a \((pq)^2\) part which is \(p^2qq=nq\) which is zero nod n
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
i don't see this (pq)^2 part
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
george what kind of math have you had?
 3 years ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.2
\[{k\choose i}x^{k1}(ypq)^i\] for \(i\ge2\) \[{k\choose i}x^{k1}(ypq)^i={k\choose i}x^{k1}(y^i)(pq)^{i2}p^2qq\] \[=\left({k\choose i}x^{k1}(y^i)(pq)^{i2}q\right)\times n\]
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
you are so smart to notice the first two values will only matter since n mod n is like totally 0 thanks zarkon
 3 years ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.0
I've only had a year and a half of college level math so far, so that means, calc 13, lin. algebra, abstract algebra, and analysis
 3 years ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.2
no problem :)
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
is there any number theory in abstract algebra i can't remember
 3 years ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.0
not very much. I'm taking intro to number theory, and cryptography next semester.
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
i like cryptography
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
number theory is so cool and interesting to me although my skills suck right now
 3 years ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.0
It certainly sounds fun. I'm definitely enjoying my abstract algebra class right now. We had the barest hints of some number theory in discrete math so I'm not completely helpless.
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
i like these math puzzles
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
differential equations is not as fun to me but i do like the remedial kind lol
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
zarkon do you think there is hope for my brain?
 3 years ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.0
From my experience, I don't like differential equations very much. Granted, I've never had a full course in it, but it just isn't my thing.
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
i feel like i'm trapped inside with an apes' brain
 3 years ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.2
A very smart ape ;)
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
thanks i take that as a compliment
 3 years ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.2
If you want a fun class...Take a course in measure theoretic probability theory.
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
he says that because he is a stat nerd
 3 years ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.0
I don't think my school has that class...
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
my doesn't either
 3 years ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.2
or a class in stochastic processes
 3 years ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.2
sometimes it will fall under the title of applied probability
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
i think they might have that
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
i always had a 10 foot pole when it came to statistics i only had to put it down when the course in stat was required
 3 years ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.0
I'm personally more of an algebra person. Stats was interesting at first, but then it got boring.
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
There are some cool things though in stat i do admit
 3 years ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.2
There is plenty of really nice mathematics in statistics
 3 years ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.0
It was the same with calculus for me. Interesting at first, and then it just stopped interesting me.
 3 years ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.2
A lot of multivariate calculus and matrix theory
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
zarkon can i ask another question
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
this is my last problem with this proof...
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
omg never i got it lol
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
i mean nvm
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
i was typing it all out then i realized oh yeah lol
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
ok i feel good about this proof thanks for all your help
 3 years ago

Zarkon Group TitleBest ResponseYou've already chosen the best response.2
good...no problem
 3 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.